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Finding the Fourth Proportional to 867.75, 1,300.17 and 593.30

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Solution

The fourth proportional to 867.75, 1,300.17 and 593.30 is: 888.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.75 : 1,300.17 = 593.30 : x
  2. Step 2: Convert to fraction form
    867.75/1,300.17 = 593.30/x
  3. Step 3: Cross multiply
    867.75x = 1,300.17 × 593.30
  4. Step 4: Simplify right side
    867.75x = 771,384.36
  5. Step 5: Solve for x
    x = 771,384.36/867.75
  6. Step 6: Final answer
    x = 888.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.